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34354432 = 287191009
BaseRepresentation
bin1000001100001…
…1010100000000
32101122101102101
42003003110000
532243320212
63224200144
7565002460
oct203032400
971571371
1034354432
1118434aa2
12b609054
13716ac88
1447c3ba0
153039157
hex20c3500

34354432 has 72 divisors (see below), whose sum is σ = 82577600. Its totient is φ = 13934592.

The previous prime is 34354429. The next prime is 34354459. The reversal of 34354432 is 23445343.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 34354432.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33544 + ... + 34552.

Almost surely, 234354432 is an apocalyptic number.

34354432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34354432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41288800).

34354432 is an abundant number, since it is smaller than the sum of its proper divisors (48223168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34354432 is a wasteful number, since it uses less digits than its factorization.

34354432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051 (or 1037 counting only the distinct ones).

The product of its digits is 17280, while the sum is 28.

The square root of 34354432 is about 5861.2653923876. The cubic root of 34354432 is about 325.0829989202.

Adding to 34354432 its reverse (23445343), we get a palindrome (57799775).

The spelling of 34354432 in words is "thirty-four million, three hundred fifty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 133 152 224 256 266 304 448 532 608 896 1009 1064 1216 1792 2018 2128 2432 4036 4256 4864 7063 8072 8512 14126 16144 17024 19171 28252 32288 34048 38342 56504 64576 76684 113008 129152 134197 153368 226016 258304 268394 306736 452032 536788 613472 904064 1073576 1226944 1808128 2147152 2453888 4294304 4907776 8588608 17177216 34354432